CN103020845A - Mobile application pushing method and system - Google Patents

Mobile application pushing method and system Download PDF

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Publication number
CN103020845A
CN103020845A CN2012105460553A CN201210546055A CN103020845A CN 103020845 A CN103020845 A CN 103020845A CN 2012105460553 A CN2012105460553 A CN 2012105460553A CN 201210546055 A CN201210546055 A CN 201210546055A CN 103020845 A CN103020845 A CN 103020845A
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mobile
app
user
application
concept
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CN103020845B (en
Inventor
庞文博
杨锴
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Beijing Baidu Netcom Science and Technology Co Ltd
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Beijing Baidu Netcom Science and Technology Co Ltd
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Priority to CN201210546055.3A priority Critical patent/CN103020845B/en
Publication of CN103020845A publication Critical patent/CN103020845A/en
Priority to JP2015546823A priority patent/JP6262764B2/en
Priority to PCT/CN2013/086685 priority patent/WO2014090057A1/en
Priority to US14/411,846 priority patent/US9978093B2/en
Priority to EP13863276.5A priority patent/EP2933770A4/en
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q30/00Commerce
    • G06Q30/06Buying, selling or leasing transactions
    • G06Q30/0601Electronic shopping [e-shopping]
    • G06Q30/0631Item recommendations

Abstract

The invention provides a mobile application pushing method. The mobile application pushing method includes determining more than one mobile application category with the highest relevancy to mobile applications designed by a user according to relevancy of pre-generated mobile application categories; calculating recommendation levels of the mobile applications under the mobile application categories according to pre-generated weighted values of the mobile applications; extracting the mobile application with higher rankings of the recommendation levels under each mobile application category; and selecting more than one mobile application which has the highest recommendation level as a recommendation result according to the number of pre-set recommendation results, and pushing the more than one mobile application to users. The invention further provides a mobile application pushing system. According to the mobile application pushing method and the system, diversity of the recommended mobile applications can be effectively improved.

Description

A kind of method for pushing and system that moves application
[technical field]
The present invention relates to the internet, applications field, relate in particular to a kind of method for pushing and system that moves application.
[background technology]
At present, mobile application shop all can push some to the user and move application when user's download or browse application, in order to recommend mobile the application to the user, method for pushing is that the User history log counts the correlativity between mobile the application, then according to correlativity and utilize the proposed algorithms such as neighbour, collaborative filtering to produce recommendation results, so prior art all is as recommending according to recommending mobile the application with the correlativity between mobile the application.
Therefore, there is following problem in the mobile way of recommendation of using at present:
1, since all be according to the correlativity between mobile the application as recommending foundation so that the mobile content of using of recommending is too similar, can't recommend diversified mobile the application to the user, thereby can't excite the user to the mobile demand of using.
2, because newly-increased mobile the application do not have user's history log, therefore can't add up newly-increased mobile use and other move correlativity between the application, therefore can't be when the user checks or downloads mobile the application, newly-increased mobile the application recommended the user, can't solve the newly-increased mobile cold start-up problem of using.
[summary of the invention]
The invention provides a kind of method for pushing and system that moves application, the mobile diversity of using of can Effective Raise recommending.
Concrete technical scheme of the present invention is as follows:
According to one preferred embodiment of the present invention, a kind of method for pushing that moves application comprises:
According to the degree of correlation of the mobile applicating category that generates in advance, determine one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment;
According to the mobile weighted value of using that generates in advance, calculate the mobile recommendation degree of using under the described mobile applicating category;
Extract each and move forward mobile application of recommendation degree rank under the applicating category, the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
In the said method, the method that generates in advance the degree of correlation of mobile applicating category is:
Obtain the mobile classification information of using according to the mobile ontology library of using, according to the mobile classification information of using mobile application that the user checks, downloads and uses classified;
According to the user that obtains mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that generate in advance between the degree of correlation, calculate the degree of correlation between the mobile applicating category.
In the said method, the method that generates in advance the degree of correlation between mobile the application is:
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing following formula calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2
Wherein, R (app m, app n) represent to move in the mobile set of applications and use app mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set,
Figure BDA00002591612400022
With Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U,
Figure BDA00002591612400024
k 1Equal 2, k 2Equal 1.2, b and equal 0.75, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
In the said method, described user gathers the weight w of user u among the U uFor Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U.
In the said method, described user is the mobile app that uses mThe score value that distributes
Figure BDA00002591612400032
For s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m ;
Wherein, s 1Equal 1, s 2Equal 2, s 3Equal 1; When the user checks the mobile app of application mThe time Equal 1, when the user does not check the mobile app of application mThe time
Figure BDA00002591612400035
Equal 0; When the user downloads the mobile app of application mThe time Equal 1, when the user does not download the mobile app of application mThe time
Figure BDA00002591612400037
Equal 0;
Figure BDA00002591612400038
Equal the user and use the mobile app of application mDuration.
In the said method, the method for the degree of correlation between the mobile applicating category of described calculating is:
Utilize following formula to calculate mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n )
Wherein, concept iAnd concept jBe respectively the mobile app of application mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) be the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation,
Figure BDA000025916124000310
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure BDA000025916124000311
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum, The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
In the said method, the method that generates in advance the mobile weighted value of using is:
Utilize following formula to calculate the mobile app of application mAt mobile applicating category concept iIn weighted value:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i
Wherein,
Figure BDA00002591612400042
Be respectively the mobile app of application mIn user's history log by the total degree checked, the total degree that is downloaded, total duration of being used;
Figure BDA00002591612400043
Be respectively mobile applicating category concept iTotal duration that lower all movements are applied in the total degree of being checked in user's history log, the total degree that is downloaded, are used; k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4.
In the said method, the method also comprises:
With the mobile ontology library that adds mobile application to of using that increases newly in the mobile application shop, and be newly-increased mobile classification information and the attribute information that marks correspondence of using;
On duty with default decay factor with the mobile average weight of using that rank under the mobile applicating category under newly-increased mobile the application is forward, the mobile weighted value of using that obtains increasing newly.
In the said method, the method for the mobile recommendation degree of using is under the described mobile applicating category of described calculating:
Utilize following formula to calculate that each moves the recommendation degree of application in the mobile applicating category:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n )
Wherein,
Figure BDA00002591612400045
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the highest mobile applicating category of the degree of correlation, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation,
Figure BDA00002591612400046
Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k equals 2.
A kind of supplying system that moves application comprises: statistic unit, the first computing unit, push unit; Wherein,
Statistic unit is used for the degree of correlation according to the mobile applicating category that generates in advance, determines one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment;
The first computing unit is used for calculating the mobile recommendation degree of using under the described mobile applicating category according to the mobile weighted value of using that generates in advance;
Push unit is used for extracting each and moves forward mobile application of recommendation degree rank under the applicating category, and the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
In the said system, this system also comprises: the second computing unit that is used for generating in advance the degree of correlation of mobile applicating category:
The degree of correlation that the second computing unit generates mobile applicating category in advance specifically comprises: obtain the mobile classification information of using according to the mobile ontology library of using, according to the mobile classification information of using mobile application that the user checks, downloads and uses classified; According to the user that obtains mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that generate in advance between the degree of correlation, calculate the degree of correlation between the mobile applicating category.
In the said system, this system also comprises for the 3rd computing unit that generates in advance the degree of correlation between mobile the application;
The degree of correlation that described the 3rd computing unit generates between mobile the application in advance specifically comprises:
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing following formula calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2
Wherein,
Figure BDA00002591612400052
Represent the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set,
Figure BDA00002591612400053
With
Figure BDA00002591612400054
Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U,
Figure BDA00002591612400061
k 1Equal 2, k 2Equal 1.2, b and equal 0.75, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
In the said system, described user gathers the weight w of user u among the U uFor
Figure BDA00002591612400062
Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U.
In the said system, described user is the mobile app that uses mThe score value that distributes
Figure BDA00002591612400063
For s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m ;
Wherein, s 1Equal 1, s 2Equal 2, s 3Equal 1; When the user checks the mobile app of application mThe time
Figure BDA00002591612400065
Equal 1, when the user does not check the mobile app of application mThe time
Figure BDA00002591612400066
Equal 0; When the user downloads the mobile app of application mThe time
Figure BDA00002591612400067
Equal 1, when the user does not download the mobile app of application mThe time
Figure BDA00002591612400068
Equal 0;
Figure BDA00002591612400069
Equal the user and use the mobile app of application mDuration.
In the said system, the degree of correlation that described the second computing unit calculates between the mobile applicating category specifically comprises:
Utilize following formula to calculate mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n )
Wherein, concept iAnd concept jBe respectively the mobile app of application mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) be the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation,
Figure BDA000025916124000611
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure BDA000025916124000612
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum,
Figure BDA000025916124000613
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
In the said system, this system also comprises for the 4th computing unit that generates in advance the mobile weighted value of using;
Described the 4th computing unit generates in advance the mobile weighted value of using and specifically comprises:
Utilize following formula to calculate the mobile app of application mAt mobile applicating category concept iIn weighted value:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i
Wherein,
Figure BDA00002591612400072
Be respectively the mobile app of application mIn user's history log by the total degree checked, the total degree that is downloaded, total duration of being used; Be respectively mobile applicating category concept iTotal duration that lower all movements are applied in the total degree of being checked in user's history log, the total degree that is downloaded, are used; k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4.
In the said system, this system also comprises: updating block;
Described updating block adds the ontology library of mobile application to for the mobile application that mobile application shop is increased newly, and is that classification information and the attribute information that marks correspondence used in newly-increased moving;
Described the 4th computing unit, also on duty with default decay factor with the forward mobile average weight of using of rank under the affiliated mobile applicating category of newly-increased mobile application, the weighted value that moves application that obtains increasing newly.
In the said system, the recommendation degree that described the first computing unit calculates mobile application under the described mobile applicating category specifically comprises:
Utilize following formula to calculate that each moves the recommendation degree of application in the mobile applicating category:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n )
Wherein,
Figure BDA00002591612400075
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the highest mobile applicating category of the degree of correlation, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation,
Figure BDA00002591612400081
Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k equals 2.
As can be seen from the above technical solutions, technical scheme provided by the invention has following beneficial effect:
Extract forward mobile application of recommendation degree rank under the higher mobile applicating category of the degree of correlation, and mobile application that wherein degree of recommendation is the highest recommended the user, so, guaranteed the diversity of the mobile applicating category recommended, thus the mobile diversity of using of can Effective Raise recommending.
[description of drawings]
Fig. 1 is the schematic flow sheet that the present invention realizes the preferred embodiment of the mobile method for pushing of using;
Fig. 2 is the structural representation that the present invention realizes the preferred embodiment of the mobile supplying system of using.
[embodiment]
Basic thought of the present invention is: according to the degree of correlation of the mobile applicating category that generates in advance, determine one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment; According to the mobile weighted value of using that generates in advance, calculate the mobile recommendation degree of using under the described mobile applicating category; Extract each and move forward mobile application of recommendation degree rank under the applicating category, the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
In order to make the purpose, technical solutions and advantages of the present invention clearer, describe the present invention below in conjunction with the drawings and specific embodiments.
The invention provides a kind of method for pushing that moves application, Fig. 1 is the schematic flow sheet that the present invention realizes the preferred embodiment of the mobile method for pushing of using, and as shown in Figure 1, the preferred embodiment may further comprise the steps:
Step 101, User checks or download the mobile information of using in mobile application shop and the user uses the mobile duration information of using, the degree of correlation in the mobile set of applications that the calculating user checks, downloads and uses between mobile the application.
Concrete, the mobile data platform of using the shop can be stored the user and use the user's history log that moves when using the shop, data platform is with text formatting storage user history log, and per hour the text of the user's history log in hour is saved in the same file as unit; Described user's history log comprises that the user checks or download the mobile information of using in mobile application shop and the user uses the mobile duration information of using; Wherein, the user checks or downloads the mobile information of using and comprise that user ID (UID), this user use the mobile sign (packageID) of using and this user that check or download in the shop and use the mobile time of using of checking or downloading in the shop mobile mobile mobile the application in the shop; Described user uses the mobile duration information of using to comprise user ID (UID).Mobile sign (packageID) and this user who uses that this user uses uses this to move the duration of application.
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing formula (1) calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2 - - - ( 1 )
Wherein, R (app m, app n) represent to move in the mobile set of applications and use app mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set,
Figure BDA00002591612400092
With
Figure BDA00002591612400093
Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U, can utilize formula (2) to calculate w u:
w u = log N - n u + 0.5 n u + 0.5 - - - ( 2 )
Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile mobile sum of using of using and using that mobile that user u checks among the U used, downloads.
Described
Figure BDA00002591612400101
Or
Figure BDA00002591612400102
Utilize formula (3) to obtain:
s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m - - - ( 3 )
Wherein, s 1, s 2And s 3Represent respectively the mobile mobile mobile basic mark of using of using and using of using, downloading that user u checks, in this preferred embodiment, s 1Equal 1, s 2Equal 2, s 3Equal 1;
Figure BDA00002591612400104
Whether expression user u checks the mobile app of application m, if so, Equal 1, if not,
Figure BDA00002591612400106
Equal 0;
Figure BDA00002591612400107
Whether expression user u downloads the mobile app of application m, if so,
Figure BDA00002591612400108
Equal 1, if not,
Figure BDA00002591612400109
Equal 0;
Figure BDA000025916124001010
The expression user uses the mobile app of application mDuration, here, the user uses the mobile app of application mDuration take minute as unit;
Wherein, k 1And k 2Be the adjustment factor, in this preferred embodiment, k 1Equal 2, k 2Equal 1.2, K and utilize formula
Figure BDA000025916124001011
Obtain; Wherein, b is for adjusting the factor, and in this preferred embodiment, b equals 0.75, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
In this preferred embodiment, the degree of correlation between the application is moved in calculating that can the cycle, for example, can extract in morning every day user's history log in previous month, calculates the degree of correlation between the mobile application according to this user's history log.
Step 102 obtains the mobile classification information of using in the mobile set of applications according to the mobile ontology library of using, and according to the mobile classification information of using mobile the application is classified; User mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that calculate between relatedness computation move the degree of correlation between the applicating category.
Concrete, the mobile ontology library of using is take the mobile sign (packageID) of using as unit, and comprises title, classification information and the attribute information that this moves the sign correspondence of application, for example, the mobile ontology library of using can be as shown in table 1:
Table 1
Figure BDA00002591612400111
After the degree of correlation in having calculated mobile set of applications between mobile the application, according to mobile being identified in the mobile ontology library of using of using in the mobile set of applications, obtain the classification information that each moves application, then according to the mobile classification information of using mobile the application classified, obtain mobile applicating category more than corresponding to mobile set of applications, according to the degree of correlation between mobile application that calculates, and utilize formula (4) to calculate the degree of correlation between the mobile applicating category:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n ) - - - ( 4 )
Wherein, concept iAnd concept jExpression is moved and is used app respectively mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) the mobile app that uses in the mobile set of applications that calculates of representation formula (1) mWith the mobile app that uses nBetween the degree of correlation, R (concept i, concept j) the mobile applicating category concept of expression iWith mobile applicating category concept jBetween the degree of correlation;
Figure BDA00002591612400113
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure BDA00002591612400114
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum; Here, can User history log statistics check the mobile user who uses, download and move the user who uses and the sum that uses the mobile user who uses;
Figure BDA00002591612400115
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
Step 103 with the mobile ontology library that adds mobile application to of using that increases newly in the mobile application shop, and is newly-increased mobile classification information and the attribute information that marks correspondence of using.
Concrete, after having calculated the degree of correlation of mobile applicating category, the mobile application that increases newly in the mobile application shop can also be added in the ontology library, for newly-increased mobile application distributes packageID, and corresponding classification information and the attribute information of mark; Wherein, can utilize mobile mobile title and the brief introduction of using that automatic marking system provides according to the mobile owner of application of using, be newly-increased mobile automatic marking classification information and the attribute information used.
Step 104, User checks or download the mobile information of using in mobile application shop and the user uses the mobile duration information of using, the non-newly-increased mobile weighted value of using under the mobile applicating category in the calculating ontology library; On duty with default decay factor with the mobile average weight of using that rank under the mobile applicating category under newly-increased mobile the application is forward, the mobile weighted value of using that obtains increasing newly.
Concrete, utilize formula (5) to calculate and move the weighted value of using in the mobile ontology library of using under the mobile applicating category:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i - - - ( 5 )
Wherein,
Figure BDA00002591612400122
The mobile app that uses of expression mAt mobile applicating category concept iIn weighted value,
Figure BDA00002591612400123
The mobile app that uses of expression mThe total degree of in user's history log, being checked,
Figure BDA00002591612400124
The mobile app that uses of expression mThe total degree that in user's history log, is downloaded,
Figure BDA00002591612400125
The mobile app that uses of expression mThe total duration that in user's history log, is used,
Figure BDA00002591612400126
Unit be minute;
Figure BDA00002591612400127
Represent mobile applicating category concept iLower all movements are applied in the total degree of being checked in user's history log;
Figure BDA00002591612400128
Represent mobile applicating category concept iLower all movements are applied in the total degree that is downloaded in user's history log,
Figure BDA00002591612400129
Represent mobile applicating category concept iLower all movements are applied in the total duration that is used in user's history log; k 1The mobile app that uses of expression mIn user's history log, checked corresponding factor of influence, k 2The mobile app that uses of expression mIn user's history log, be downloaded corresponding factor of influence, k 3The mobile app that uses of expression mThe factor of influence of total duration in user's history log, in this preferred embodiment, k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4; The sign that storing mobile is used and the corresponding relation that moves the weighted value of using.
Wherein, if the mobile app that uses mBe mobile application newly-increased in the mobile ontology library of using, then newly-increased mobile the application adopted the weighted value of giving tacit consent to, and the computing method of the weighted value of acquiescence are for utilizing mobile applicating category concept iThe mean value of three mobile weighted values of using that middle weighted value is the highest multiply by a decay factor, and in this preferred embodiment, this decay factor equals 0.4.
Step 105 when receiving mobile application of user's appointment, is determined one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of appointment according to the degree of correlation of mobile applicating category; According to the mobile weighted value of using, calculate the mobile recommendation degree of using under the described mobile applicating category; Extract each and move forward mobile application of recommendation degree rank under the applicating category, the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
Concrete, when the user searches for or download the mobile app of application mobile the application in the shop mThe time, inquire about according to mobile being identified in the mobile ontology library of using of using of this appointment, obtain the mobile app of application mMobile applicating category concept i, foundation and mobile applicating category concept iThe descending order of the degree of correlation the mobile applicating category in the mobile ontology library of using is sorted, then according to default recommendation results number n, extract the most forward 2n of a degree of correlation rank mobile applicating category.
Each moves the recommendation degree of application in 2n the mobile applicating category that utilizes formula (6) calculating to extract:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n ) - - - ( 6 )
Wherein,
Figure BDA00002591612400132
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the individual mobile applicating category of the 2n that the degree of correlation is the highest, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation, Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k is factor of influence, in this preferred embodiment, k equals 2.
After calculating the mobile recommendation degree of using, the User history log, the mobile application that calculates the recommendation degree screened, deleting wherein, the user downloaded or used mobile the application, take mobile applicating category as unit, the order descending according to the recommendation degree sorts to mobile application that each moves under the applicating category, then extract the mobile application that each moves recommendation degree rank front two under the applicating category, sort to move the mobile criteria in application recommendation degree order from high to low that applicating category extracts from each, according to default recommendation results number n, the mobile recommendation results of using as mobile of using with coming front n is pushed to the user with this recommendation results.
For realizing said method, the present invention also provides a kind of supplying system that moves application, Fig. 2 is the structural representation that the present invention realizes the preferred embodiment of the mobile supplying system of using, and as shown in Figure 2, this system comprises: statistic unit 20, the first computing unit 21, push unit 22; Wherein,
Statistic unit 20 is used for the degree of correlation according to the mobile applicating category that generates in advance, determines one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment;
The first computing unit 21 is used for calculating the mobile recommendation degree of using under the described mobile applicating category according to the mobile weighted value of using that generates in advance;
Push unit 22 is used for extracting each and moves forward mobile application of recommendation degree rank under the applicating category, and the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
This system also comprises: the second computing unit 23 that is used for generating in advance the degree of correlation of mobile applicating category;
The degree of correlation that the second computing unit 23 generates mobile applicating category in advance specifically comprises: obtain the mobile classification information of using according to the mobile ontology library of using, according to the mobile classification information of using mobile application that the user checks, downloads and uses classified; According to the user that obtains mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that generate in advance between the degree of correlation, calculate the degree of correlation between the mobile applicating category.
This system also comprises for the 3rd computing unit 24 that generates in advance the degree of correlation between mobile the application;
The degree of correlation that described the 3rd computing unit 24 generates between mobile the application in advance specifically comprises:
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing following formula calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2
Wherein, R (app m, app n) represent to move in the mobile set of applications and use app mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set,
Figure BDA00002591612400152
With
Figure BDA00002591612400153
Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U,
Figure BDA00002591612400154
k 1Equal 2, k 2Equal 1.2, b and equal 0.75, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
Wherein, described user gathers the weight w of user u among the U uFor
Figure BDA00002591612400155
Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U.
Wherein, described user is the mobile app that uses mThe score value that distributes
Figure BDA00002591612400156
For s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m ;
Wherein, s 1Equal 1, s 2Equal 2, s 3Equal 1; When the user checks the mobile app of application mThe time
Figure BDA00002591612400158
Equal 1, when the user does not check the mobile app of application mThe time
Figure BDA00002591612400159
Equal 0; When the user downloads the mobile app of application mThe time
Figure BDA000025916124001510
Equal 1, when the user does not download the mobile app of application mThe time
Figure BDA000025916124001511
Equal 0;
Figure BDA000025916124001512
Equal the user and use the mobile app of application mDuration.
Wherein, the degree of correlation between the mobile applicating category of described the second computing unit 23 calculating specifically comprises:
Utilize following formula to calculate mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n )
Wherein, concept iAnd concept jBe respectively the mobile app of application mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) be the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation,
Figure BDA00002591612400162
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure BDA00002591612400163
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum,
Figure BDA00002591612400164
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
This system also comprises for the 4th computing unit 25 that generates in advance the mobile weighted value of using;
Described the 4th computing unit 25 generates in advance the mobile weighted value of using and specifically comprises:
Utilize following formula to calculate the mobile app of application mAt mobile applicating category concept iIn weighted value:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i - - - ( 5 )
Wherein,
Figure BDA00002591612400166
Be respectively the mobile app of application mIn user's history log by the total degree checked, the total degree that is downloaded, total duration of being used;
Figure BDA00002591612400167
Be respectively mobile applicating category concept iTotal duration that lower all movements are applied in the total degree of being checked in user's history log, the total degree that is downloaded, are used; k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4.
This system also comprises: updating block 26;
Described updating block 26 adds the ontology library of mobile application to for the mobile application that mobile application shop is increased newly, and is that classification information and the attribute information that marks correspondence used in newly-increased moving;
Described the 4th computing unit 25, also on duty with default decay factor with the forward mobile average weight of using of rank under the affiliated mobile applicating category of newly-increased mobile application, the weighted value that moves application that obtains increasing newly.
The recommendation degree that described the first computing unit 21 calculates mobile application under the described mobile applicating category specifically comprises:
Utilize following formula to calculate that each moves the recommendation degree of application in the mobile applicating category:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n )
Wherein,
Figure BDA00002591612400172
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the highest mobile applicating category of the degree of correlation, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation, Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k equals 2.
Technique scheme of the present invention has following useful technique effect:
1, extracts forward mobile application of recommendation degree rank under the higher mobile applicating category of the degree of correlation, and mobile application that wherein degree of recommendation is the highest recommended the user, so, guaranteed the diversity of the mobile applicating category recommended, thus the mobile diversity of using of can Effective Raise recommending.
2, after the calculating of the degree of correlation of mobile applicating category is complete, add mobile application that increases newly to ontology library, and configuration categories information and attribute information, therefore when the recommendation of calculating mobile application is spent, just can include mobile application that increases newly in computer capacity according to ontology library, effectively calculate the newly-increased mobile recommendation degree of using, the mobile application that also can effectively will increase newly according to the recommendation degree is pushed to the user, thereby can effectively solve the newly-increased mobile cold start-up problem of using.
The above only is preferred embodiment of the present invention, and is in order to limit the present invention, within the spirit and principles in the present invention not all, any modification of making, is equal to replacement, improvement etc., all should be included within the scope of protection of the invention.

Claims (18)

1. method for pushing that moves application is characterized in that the method comprises:
According to the degree of correlation of the mobile applicating category that generates in advance, determine one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment;
According to the mobile weighted value of using that generates in advance, calculate the mobile recommendation degree of using under the described mobile applicating category;
Extract each and move forward mobile application of recommendation degree rank under the applicating category, the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
2. method according to claim 1 is characterized in that, the method that generates in advance the degree of correlation of mobile applicating category is:
Obtain the mobile classification information of using according to the mobile ontology library of using, according to the mobile classification information of using mobile application that the user checks, downloads and uses classified;
According to the user that obtains mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that generate in advance between the degree of correlation, calculate the degree of correlation between the mobile applicating category.
3. method according to claim 2 is characterized in that, the method that generates in advance the degree of correlation between mobile the application is:
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing following formula calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2
Wherein, R (app m, app n) represent to move in the mobile set of applications and use app mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set, With
Figure FDA00002591612300013
Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U,
Figure FDA00002591612300021
k 1Equal 2, k 2Equal 1.2, b and equal 0.75, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
4. method according to claim 3 is characterized in that, described user gathers the weight w of user u among the U uFor Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U.
5. method according to claim 3 is characterized in that, described user is the mobile app that uses mThe score value that distributes
Figure FDA00002591612300023
For s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m ;
Wherein, s 1Equal 1, s 2Equal 2, s 3Equal 1; When the user checks the mobile app of application mThe time
Figure FDA00002591612300025
Equal 1, when the user does not check the mobile app of application mThe time
Figure FDA00002591612300026
Equal 0; When the user downloads the mobile app of application mThe time
Figure FDA00002591612300027
Equal 1, when the user does not download the mobile app of application mThe time
Figure FDA00002591612300028
Equal 0; Equal the user and use the mobile app of application mDuration.
6. method according to claim 2 is characterized in that, the method for the degree of correlation between the mobile applicating category of described calculating is:
Utilize following formula to calculate mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n )
Wherein, concept iAnd concept jBe respectively the mobile app of application mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) be the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation,
Figure FDA000025916123000211
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure FDA00002591612300031
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum,
Figure FDA00002591612300032
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
7. method according to claim 1 is characterized in that, the method that generates in advance the mobile weighted value of using is:
Utilize following formula to calculate the mobile app of application mAt mobile applicating category concept iIn weighted value:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i
Wherein,
Figure FDA00002591612300034
Be respectively the mobile app of application mIn user's history log by the total degree checked, the total degree that is downloaded, total duration of being used;
Figure FDA00002591612300035
Be respectively mobile applicating category concept iTotal duration that lower all movements are applied in the total degree of being checked in user's history log, the total degree that is downloaded, are used; k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4.
8. method according to claim 1 is characterized in that, the method also comprises:
With the mobile ontology library that adds mobile application to of using that increases newly in the mobile application shop, and be newly-increased mobile classification information and the attribute information that marks correspondence of using;
On duty with default decay factor with the mobile average weight of using that rank under the mobile applicating category under newly-increased mobile the application is forward, the mobile weighted value of using that obtains increasing newly.
9. method according to claim 1 is characterized in that, the method for the mobile recommendation degree of using is under the described mobile applicating category of described calculating:
Utilize following formula to calculate that each moves the recommendation degree of application in the mobile applicating category:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n )
Wherein,
Figure FDA00002591612300037
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the highest mobile applicating category of the degree of correlation, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation,
Figure FDA00002591612300041
Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k equals 2.
10. a supplying system that moves application is characterized in that, this system comprises: statistic unit, the first computing unit, push unit; Wherein,
Statistic unit is used for the degree of correlation according to the mobile applicating category that generates in advance, determines one or more the mobile applicating category the highest with the mobile mobile applicating category degree of correlation of using of user's appointment;
The first computing unit is used for calculating the mobile recommendation degree of using under the described mobile applicating category according to the mobile weighted value of using that generates in advance;
Push unit is used for extracting each and moves forward mobile application of recommendation degree rank under the applicating category, and the mobile application more than that the recommendation degree is the highest in mobile application that the default recommendation results number of foundation will be extracted is pushed to the user as recommendation results.
11. system according to claim 10 is characterized in that, this system also comprises: the second computing unit that is used for generating in advance the degree of correlation of mobile applicating category:
The degree of correlation that the second computing unit generates mobile applicating category in advance specifically comprises: obtain the mobile classification information of using according to the mobile ontology library of using, according to the mobile classification information of using mobile application that the user checks, downloads and uses classified; According to the user that obtains mobile use check or download in the shop mobile information, the user who uses uses the mobile duration information of using and mobile application that generate in advance between the degree of correlation, calculate the degree of correlation between the mobile applicating category.
12. system according to claim 11 is characterized in that, this system also comprises for the 3rd computing unit that generates in advance the degree of correlation between mobile the application;
The degree of correlation that described the 3rd computing unit generates between mobile the application in advance specifically comprises:
In mobile application shop, check or download the information and the user that move application according to described user and use the mobile duration information of using, and move the degree of correlation between the application in the mobile set of applications of utilizing following formula calculating user to check, download and use:
R ( app m , app n ) = Σ u = 1 U w u × s app m × ( k 1 + 1 ) s app m + K × s app n × ( k 2 + 1 ) s app n + k 2
Wherein, R (app m, app n) represent to move in the mobile set of applications and use app mWith the mobile app that uses nBetween the degree of correlation, U represents to use simultaneously the mobile app of application mWith the mobile app that uses nUser set,
Figure FDA00002591612300052
With
Figure FDA00002591612300053
Represent that respectively the user gathers that user u is app among the U mAnd app nThe score value that distributes; w uThe expression user gathers the weight of user u among the U,
Figure FDA00002591612300054
k 1Equal 2, k 2Equal 1.2, b and equal 0.75, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U, n AvgThe mobile sum of using of the mobile sum of using that expression user u checks, download and the mean value that uses the mobile sum of using.
13. system according to claim 12 is characterized in that, described user gathers the weight w of user u among the U uFor
Figure FDA00002591612300055
Wherein, N represents the mobile sum of using in the mobile set of applications, n uThe expression user gathers the mobile sum of using that user u checks, downloads and uses among the U.
14. system according to claim 12 is characterized in that, described user is the mobile app that uses mThe score value that distributes
Figure FDA00002591612300056
For s app m = s 1 × read app m + s 2 × download app m + s 3 × usetime app m ;
Wherein, s 1Equal 1, s 2Equal 2, s 3Equal 1; When the user checks the mobile app of application mThe time
Figure FDA00002591612300058
Equal 1, when the user does not check the mobile app of application mThe time Equal 0; When the user downloads the mobile app of application mThe time
Figure FDA000025916123000510
Equal 1, when the user does not download the mobile app of application mThe time Equal 0;
Figure FDA000025916123000512
Equal the user and use the mobile app of application mDuration.
15. system according to claim 11 is characterized in that, the degree of correlation that described the second computing unit calculates between the mobile applicating category specifically comprises:
Utilize following formula to calculate mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation:
R ( concept i , concept j ) = Σ concept app m = concept i , concept app n = concept j U f app m app n f app m + f app n × R ( app m , app n )
Wherein, concept iAnd concept jBe respectively the mobile app of application mWith the mobile app that uses nAffiliated mobile applicating category, R (app m, app n) be the mobile app of application in the mobile set of applications mWith the mobile app that uses nBetween the degree of correlation,
Figure FDA00002591612300062
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mUser's sum,
Figure FDA00002591612300063
The mobile app of application is checked in expression nThe user, download the mobile app of application nThe user and use the mobile app of application nUser's sum,
Figure FDA00002591612300064
The mobile app of application is checked in expression mThe user, download the mobile app of application mThe user and use the mobile app of application mThe user set with check the mobile app of application nThe user, download the mobile app of application nThe user or use the mobile app of application nUser's intersection of sets total number of users that collection comprises.
16. system according to claim 10 is characterized in that, this system also comprises for the 4th computing unit that generates in advance the mobile weighted value of using;
Described the 4th computing unit generates in advance the mobile weighted value of using and specifically comprises:
Utilize following formula to calculate the mobile app of application mAt mobile applicating category concept iIn weighted value:
w concept i app m = k 1 × r app m r concept i + k 2 × d app m d concept i + k 3 × u app m u concept i
Wherein,
Figure FDA00002591612300066
Be respectively the mobile app of application mIn user's history log by the total degree checked, the total degree that is downloaded, total duration of being used;
Figure FDA00002591612300067
Be respectively mobile applicating category concept iTotal duration that lower all movements are applied in the total degree of being checked in user's history log, the total degree that is downloaded, are used; k 1Equal 0.2, k 2Equal 0.4, k 3Equal 0.4.
17. system according to claim 10 is characterized in that, this system also comprises: updating block;
Described updating block adds the ontology library of mobile application to for the mobile application that mobile application shop is increased newly, and is that classification information and the attribute information that marks correspondence used in newly-increased moving;
Described the 4th computing unit, also on duty with default decay factor with the forward mobile average weight of using of rank under the affiliated mobile applicating category of newly-increased mobile application, the weighted value that moves application that obtains increasing newly.
18. system according to claim 10 is characterized in that, the recommendation degree that described the first computing unit calculates mobile application under the described mobile applicating category specifically comprises:
Utilize following formula to calculate that each moves the recommendation degree of application in the mobile applicating category:
rec app m app n = R ( concept i , concept j ) × w concept j app n + k × comatt ( app m , app n )
Wherein,
Figure FDA00002591612300072
For specifying the mobile app of application mThe time recommend the mobile app of application to the user nThe recommendation degree, the mobile app that uses mAffiliated mobile applicating category is concept i, the mobile app that uses nAffiliated mobile applicating category is concept j, mobile applicating category concept jBe positioned at and mobile applicating category concept iIn the highest mobile applicating category of the degree of correlation, R (concept i, concept j) be mobile applicating category concept iWith mobile applicating category concept jBetween the degree of correlation,
Figure FDA00002591612300073
Be mobile applicating category concept jThe lower mobile app that uses nWeighted value, comatt (app m, app n) use app for moving nWith the mobile app that uses mThe number of same alike result, k equals 2.
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